Answer:
C. In 4,231, the value of the digit 3 is 1/100 the value of the digit 3 in 3,421.
Step-by-step explanation:
In each case, from the digit at the right, you go multiplying each element by 10 powered to a counter that starts at zero and increases at every digit. So:
Our counter is i.
For 4,231
i = 0;
v(1) is the value of the digit 1
[tex]v(1) = 1*10^{0} = 1[/tex]
i = 1;
v(3) is the value of the digit 3
[tex]v(3) = 3*10^{1} = 30[/tex]
In 4,231, the value of the digit 3 is 30.
For 3,421
i = 0;
v(1) is the value of the digit 1
[tex]v(1) = 1*10^{0} = 1[/tex]
i = 1;
v(2) is the value of the digit2
[tex]v(1) = 2*10^{1} = 20[/tex]
i = 2;
v(4) is the value of the digit 4
[tex]v(4) = 4*10^{2} = 400[/tex]
i = 3;
v(3) is the value of the digit 3
[tex]v(4) = 3*10^{3} = 3000[/tex]
In 3,421, the value of the digit 3 is 3000.
So the correct answer is:
C. In 4,231, the value of the digit 3 is 1/100 the value of the digit 3 in 3,421.